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Finding the Third Proportional to 2,687.34 and 3,610.41

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Solution

The third proportional to 2,687.34 and 3,610.41 is: 4,850.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.34 : 3,610.41 = 3,610.41 : x
  2. Step 2: Convert to fraction form
    2,687.34/3,610.41 = 3,610.41/x
  3. Step 3: Cross multiply
    2,687.34x = 3,610.41 × 3,610.41
  4. Step 4: Simplify right side
    2,687.34x = 13,035,033.29
  5. Step 5: Solve for x
    x = 13,035,033.29/2,687.34
  6. Step 6: Final answer
    x = 4,850.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.